SOLUTION: I need help at understanding Finding the inverse of the function: f(x)=4x+1/3. My answer is f^-1(x)=x+1/3over4 for the inverse. Please let me know the correct way to solve.

Algebra ->  Functions -> SOLUTION: I need help at understanding Finding the inverse of the function: f(x)=4x+1/3. My answer is f^-1(x)=x+1/3over4 for the inverse. Please let me know the correct way to solve.      Log On


   



Question 40514: I need help at understanding Finding the inverse of the function:
f(x)=4x+1/3. My answer is f^-1(x)=x+1/3over4 for the inverse.
Please let me know the correct way to solve.

Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
If you interchange y and x that will give you the inverse function
My math book says that two functions, f(x) and g(x) are inverses of
eachother if they are reflections of eachother about the line y = x,
so graphing your solution is a way to check its correctness.
y+=+4x+%2B+1%2F3 --- y = f(x)
interchange y and x
x+=+4y+%2B+1%2F3
get y alone on the left by subtracting 1/3 from both sides
4y+=+x+-+1%2F3
y+=+%281%2F4%29x+-+1%2F12 --- y = f(-1)(x)
I'll graph these and the line y = x

f(x) and f(-1)x look like reflections about y = x